[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Springer Nature Link
Log in

An alternate method for finding more for less solution to fuzzy transportation problem with mixed constraints

  • Focus
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

In this paper, we present a different process for the optimal solution to mixed constraints transportation problem with imprecise coefficients without changing to its crisp equivalent form which is very distinct from other existing methods. Here, all the variables are considered to be triangular fuzzy numbers. Utilizing a parametric form of triangular fuzzy numbers such as left fuzziness index, right fuzziness index, modal value and by using proposed algorithm, we obtained the initial basic fuzzy feasible solution to the problem without changing to its crisp equivalent form. To obtain the solution, we use fuzzy ranking dependent on left and right spreads at some S-level of fuzzy numbers and fuzzy arithmetic dependent on both location index function and fuzziness index function. We further discuss the more for less solution by obtaining shadow prices to the problem. The more for less situation occurs when we raise the supplies, and demand quantities may cause to reduce the optimal transportation cost. The more for less paradox is very useful to a manager in dynamic, for example expanding an item house loading level or plant age breaking point and publicizing attempts to build request at explicit markets. A numerical example is solved to show the adequacy of the proposed algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Akilbasha A, Natarajan G, Pandian P (2017) Solving transportation problems with mixed constraints in rough environment. Int J Pure Appl Math 113(9):130–138

    Google Scholar 

  • Das A, Bera UK, Das B (2016) A solid transportation problem with mixed constraint in different environment. J Appl Anal Comput 6(1):179–195

    MathSciNet  MATH  Google Scholar 

  • Christi A (2017) Solutions of fuzzy transportation problem using best candidate method and different ranking techniques. Int J Math Comput Sci 11(4):182–187

    Google Scholar 

  • Khurana A, Arora SR (2011) Solving transportation problems with mixed constraints. Int J Manag Sci Eng Manag 6(4):292–297

    Google Scholar 

  • Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manag Sci 17(4):141–164

    Article  MathSciNet  Google Scholar 

  • Hussain J, Kumar S (2013) An optimal more for less solution of mixed constraints intutionistic fuzzy transportation problem. Int J Contemp Math Sci. 8(12):565–576

    Article  MathSciNet  Google Scholar 

  • Juman ZA, Nawarathne NG (2019) An efficient alternative approach to solve a transportation problem. Ceylon J Sci 48(1):19–29

    Article  Google Scholar 

  • Kumar E, Jha S (2019) A Pythagorean fuzzy approach to the transportation problem. Comp Intell Syst 5:255–263

    Article  Google Scholar 

  • Muthuperumal S, Titus P, Venkatachalapathy M (2018) A study on solving generalized trapezoidal fuzzy transportation problem with mixed constraints using ranking function. Taga J 14:2543–2547

    Google Scholar 

  • Joshi N, Chauhan SS, Raja R (2017) A new approach to solve mixed constraint transportation problem under fuzzy environment. Int J Comput Technol 16(4):6895–6902

    Article  Google Scholar 

  • Kumar N, Kumar R (2018) Zero suffix method for the transshipment problem with mixed constraints. Int J Math Arch 9(3):242–251

    Google Scholar 

  • Pandian P, Natarajan G (2010) A new method for finding an optimal More for Less solution of transportation problem with mixed constraints. Int J Contemp Math Sci 5(19):931–942

    MathSciNet  MATH  Google Scholar 

  • Mondal RN, Hossain MR, Uddin MK (2012) Solving transportation problem with mixed constraints. Int J Manag Bus Stud 2(1):95–99

    Google Scholar 

  • Vidhya V, Ganesan K (2019) Solution of Mixed type fuzzy transportation problem through a new method. J Adv Res Dyn Control Syst 11(1):350–353

    Google Scholar 

  • Adlakha V (2011) Alternate solution analysis for transportation problem. Int J Econ Bus Res 7(11):41–49

    Google Scholar 

  • Adlakha V, Kowalski K (1998) A quick sufficient solution to the more for less paradox in the transportation problem, Omega. Int J Mgmt Sci 26(44):541–547

    Google Scholar 

  • Adlakha V, Kowalski K, Lev B (2006) Solving transportation problems with mixed constraints. Int J Manag Sci Eng Manag 1(1):47–52

    Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, 603 203, India

    V. Vidhya, P. Uma Maheswari & K. Ganesan

Authors
  1. V. Vidhya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Uma Maheswari
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Ganesan
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All the three authors were mutually worked together to propose a new technique and convert into a manuscript format for finding optimal solution in fuzzy transportation problem.

Corresponding author

Correspondence to P. Uma Maheswari.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

The proposed technique is a new technique, and it is not published in any other journal.

Additional information

Communicated by Vicente Garcia Diaz.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vidhya, V., Uma Maheswari, P. & Ganesan, K. An alternate method for finding more for less solution to fuzzy transportation problem with mixed constraints. Soft Comput 25, 11989–11996 (2021). https://doi.org/10.1007/s00500-021-05664-x

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-021-05664-x

Keywords

Search

Navigation